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Procedural group identification

  • Dinko Dimitrov

    ()

    (Institute of Mathematical Economics, Bielefeld University)

  • Shao Chin Sung

    ()

    (Department of Industrial and Systems Engineering, Aoyama Gakuin University)

  • Yongsheng Xu

    ()

    (Department of Economics, Andrew Young School of Policy Studies, Georgia State University)

In this paper we axiomatically characterize two recursive procedures for defining a social group. The first procedure starts with the set of all individuals who are defined by everyone in the society as group members, while the starting point of the second procedure is the set of all individuals who define themselves as members of the social group. Both procedures expand these initial sets by adding individuals who are considered to be appropriate group members by someone in the corresponding initial set, and continue inductively un- til there is no possibility of expansion any more.

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File URL: http://www.imw.uni-bielefeld.de/papers/files/imw-wp-383.pdf
File Function: First version, 2006
Download Restriction: no

Paper provided by Bielefeld University, Center for Mathematical Economics in its series Working Papers with number 383.

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Length: 21 pages
Date of creation: Sep 2006
Date of revision:
Handle: RePEc:bie:wpaper:383
Contact details of provider: Postal: Postfach 10 01 31, 33501 Bielefeld
Phone: +49(0)521-106-4907
Web page: http://www.imw.uni-bielefeld.de/

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  1. David Schmeidler, 1998. "Between Liberalism and Democracy," Working Papers 98-18, Ohio State University, Department of Economics.
  2. Salvador Barberà & Michael Maschler & Jonathan Shalev, 1998. "Voting for Voters: A Model of Electoral Evolution," Game Theory and Information 9804001, EconWPA.
  3. George A. Akerlof & Rachel E. Kranton, 2000. "Economics And Identity," The Quarterly Journal of Economics, MIT Press, vol. 115(3), pages 715-753, August.
  4. repec:ebl:ecbull:v:4:y:2006:i:4:p:1-6 is not listed on IDEAS
  5. Nicolas, Houy, 2007. ""I want to be a J!": Liberalism in group identification problems," Mathematical Social Sciences, Elsevier, vol. 54(1), pages 59-70, July.
  6. Billot, Antoine, 2003. " How Liberalism Kills Democracy or Sen's Theorem Revisited," Public Choice, Springer, vol. 116(3-4), pages 247-70, September.
  7. Sen, Amartya Kumar, 1970. "The Impossibility of a Paretian Liberal," Scholarly Articles 3612779, Harvard University Department of Economics.
  8. Sen, Amartya, 1970. "The Impossibility of a Paretian Liberal," Journal of Political Economy, University of Chicago Press, vol. 78(1), pages 152-57, Jan.-Feb..
  9. Dolors Berga & Gustavo Bergantiños & Jordi Massó & Alejandro Neme, 2004. "Stability and voting by committees with exit," Social Choice and Welfare, Springer, vol. 23(2), pages 229-247, October.
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